The Synchrosqueezing algorithm for time-varying spectral analysis
TLDR
It is shown that Synchrosqueezing is robust to bounded perturbations of the signal and to Gaussian white noise, which justifies its applicability to noisy or nonuniformly sampled data that is ubiquitous in engineering and the natural sciences.About:
This article is published in Signal Processing.The article was published on 2013-05-01 and is currently open access. It has received 444 citations till now.read more
Citations
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Journal ArticleDOI
Empirical Wavelet Transform
TL;DR: This paper presents a new approach to build adaptive wavelets, the main idea is to extract the different modes of a signal by designing an appropriate wavelet filter bank, which leads to a new wavelet transform, called the empirical wavelets transform.
Journal ArticleDOI
Time-Frequency Reassignment and Synchrosqueezing: An Overview
François Auger,Patrick Flandrin,Yu-Ting Lin,Stephen McLaughlin,Sylvain Meignen,Thomas Oberlin,Hau-Tieng Wu +6 more
TL;DR: This article provides a general overview of time-frequency (T-F) reassignment and synchrosqueezing techniques applied to multicomponent signals, covering the theoretical background and applications.
Journal ArticleDOI
Second-Order Synchrosqueezing Transform or Invertible Reassignment? Towards Ideal Time-Frequency Representations
TL;DR: Two new post-transformations for the short-time Fourier transform that achieve a compact time-frequency representation while allowing for the separation and the reconstruction of the modes are introduced.
Journal ArticleDOI
High-Order Synchrosqueezing Transform for Multicomponent Signals Analysis—With an Application to Gravitational-Wave Signal
Duong-Hung Pham,Sylvain Meignen +1 more
TL;DR: A generalization of the short-time Fourier-based synchrosqueezing transform using a new local estimate of instantaneous frequency enables not only to achieve a highly concentrated time-frequency representation for a wide variety of amplitude- and frequency-modulated multicomponent signals but also to reconstruct their modes with a high accuracy.
Journal ArticleDOI
Matching Demodulation Transform and SynchroSqueezing in Time-Frequency Analysis
TL;DR: The authors introduce an iterative algorithm, called matching demodulation transform (MDT), to generate a time-frequency (TF) representation with satisfactory energy concentration, and the MDT-based synchrosqueezing algorithm is described to further enhance the concentration and reduce the diffusion of the curved IF profile in the TF representation of original syn chrosquEEzing transform.
References
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TL;DR: The authors prove two results about this type of estimator that are unprecedented in several ways: with high probability f/spl circ/*/sub n/ is at least as smooth as f, in any of a wide variety of smoothness measures.
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